SOLUTION: The roots of the quadratic equation z^2 + bz + c = 0 are 5 + 3i and -2 + 7i. What is b + c?

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Question 1209167: The roots of the quadratic equation z^2 + bz + c = 0 are 5 + 3i and -2 + 7i. What is b + c?
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
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HINT:  Apply the Vieta's theorem (formulas).


       Coefficient  "b"  at  z  is the sum of the roots with the opposite sign.


       Coefficient  "c"  (the constant term) is the product of the roots.



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